12a
0622
(K12a
0622
)
A knot diagram
1
Linearized knot diagam
3 7 10 8 11 2 5 1 12 6 4 9
Solving Sequence
2,6
7 3
1,11
5 8 10 4 12 9
c
6
c
2
c
1
c
5
c
7
c
10
c
3
c
11
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h4.48195 × 10
360
u
129
− 2.24649 × 10
360
u
128
+ ··· + 1.41689 × 10
360
b − 1.72726 × 10
363
,
4.29505 × 10
363
u
129
− 5.66837 × 10
362
u
128
+ ··· + 3.98147 × 10
362
a − 1.19128 × 10
366
,
u
130
− u
129
+ ··· − 2132u + 281i
I
u
2
= h16u
31
− 6u
30
+ ··· + b + 17, −36u
31
+ 35u
30
+ ··· + a − 60, u
32
− 8u
30
+ ··· + 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 162 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h4.48 × 10
360
u
129
− 2.25 × 10
360
u
128
+ · · · + 1.42 × 10
360
b − 1.73 ×
10
363
, 4.30 × 10
363
u
129
− 5.67 × 10
362
u
128
+ · · · + 3.98 × 10
362
a − 1.19 ×
10
366
, u
130
− u
129
+ · · · − 2132u + 281i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
−10.7876u
129
+ 1.42369u
128
+ ··· − 20220.3u + 2992.06
−3.16322u
129
+ 1.58550u
128
+ ··· − 7878.65u + 1219.05
a
5
=
−0.320480u
129
− 1.28783u
128
+ ··· + 1797.24u − 334.920
−1.64933u
129
− 1.18720u
128
+ ··· − 695.804u + 38.0681
a
8
=
−5.51277u
129
+ 0.141240u
128
+ ··· − 9094.61u + 1307.14
−3.33741u
129
+ 1.09015u
128
+ ··· − 7233.58u + 1092.81
a
10
=
−7.62437u
129
− 0.161817u
128
+ ··· − 12341.7u + 1773.01
−3.16322u
129
+ 1.58550u
128
+ ··· − 7878.65u + 1219.05
a
4
=
−1.53534u
129
− 1.41287u
128
+ ··· + 106.463u − 101.642
−2.45838u
129
− 0.606476u
128
+ ··· − 2961.13u + 391.626
a
12
=
−1.29895u
129
− 0.443172u
128
+ ··· − 1206.94u + 133.828
0.770830u
129
− 0.0309308u
128
+ ··· + 1333.06u − 193.571
a
9
=
−3.29734u
129
− 0.470625u
128
+ ··· − 4505.06u + 619.044
−2.55890u
129
+ 0.952322u
128
+ ··· − 5780.28u + 879.275
(ii) Obstruction class = −1
(iii) Cusp Shapes = 9.85019u
129
− 2.86707u
128
+ ··· + 21034.7u − 3194.45
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
130
+ 59u
129
+ ··· + 2798166u + 78961
c
2
, c
6
u
130
− u
129
+ ··· − 2132u + 281
c
3
u
130
+ 17u
128
+ ··· + 693261u + 67289
c
4
, c
7
u
130
− 4u
129
+ ··· − 77445u + 8257
c
5
, c
10
u
130
+ u
129
+ ··· + u + 1
c
8
, c
9
, c
12
u
130
+ 3u
129
+ ··· + 167u + 49
c
11
u
130
− 5u
129
+ ··· + 300381u + 21815
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
130
+ 41y
129
+ ··· + 2849686224134y + 6234839521
c
2
, c
6
y
130
− 59y
129
+ ··· − 2798166y + 78961
c
3
y
130
+ 34y
129
+ ··· + 179177883001y + 4527809521
c
4
, c
7
y
130
+ 82y
129
+ ··· + 573275145y + 68178049
c
5
, c
10
y
130
+ 73y
129
+ ··· + 39y + 1
c
8
, c
9
, c
12
y
130
+ 125y
129
+ ··· − 124811y + 2401
c
11
y
130
+ 25y
129
+ ··· + 54768666299y + 475894225
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.918333 + 0.376916I
a = 0.61362 − 3.16082I
b = −0.326161 − 1.144000I
−2.48560 + 3.18878I 0
u = −0.918333 − 0.376916I
a = 0.61362 + 3.16082I
b = −0.326161 + 1.144000I
−2.48560 − 3.18878I 0
u = 1.007430 + 0.080772I
a = −0.114771 − 0.697783I
b = 0.783850 + 0.365345I
−6.62927 + 5.20669I 0
u = 1.007430 − 0.080772I
a = −0.114771 + 0.697783I
b = 0.783850 − 0.365345I
−6.62927 − 5.20669I 0
u = 0.910730 + 0.378156I
a = 2.08409 + 1.71073I
b = −0.088955 + 0.742570I
0.071473 + 0.583839I 0
u = 0.910730 − 0.378156I
a = 2.08409 − 1.71073I
b = −0.088955 − 0.742570I
0.071473 − 0.583839I 0
u = 0.414089 + 0.927045I
a = −0.100985 + 0.378022I
b = 0.660024 + 1.192480I
2.14149 + 8.42500I 0
u = 0.414089 − 0.927045I
a = −0.100985 − 0.378022I
b = 0.660024 − 1.192480I
2.14149 − 8.42500I 0
u = 0.903721 + 0.388996I
a = −0.99899 − 2.08540I
b = −0.14557 − 1.65453I
−4.38247 − 1.58999I 0
u = 0.903721 − 0.388996I
a = −0.99899 + 2.08540I
b = −0.14557 + 1.65453I
−4.38247 + 1.58999I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.741954 + 0.706883I
a = −0.521732 − 0.760102I
b = 0.495114 − 1.034270I
−2.27849 − 2.92803I 0
u = −0.741954 − 0.706883I
a = −0.521732 + 0.760102I
b = 0.495114 + 1.034270I
−2.27849 + 2.92803I 0
u = 0.928867 + 0.442302I
a = −0.636292 − 0.645715I
b = 0.565504 + 0.088503I
−0.22490 − 3.67786I 0
u = 0.928867 − 0.442302I
a = −0.636292 + 0.645715I
b = 0.565504 − 0.088503I
−0.22490 + 3.67786I 0
u = −0.510755 + 0.825342I
a = 0.464158 − 0.829602I
b = −1.010670 − 0.341418I
−1.11158 − 6.49586I 0
u = −0.510755 − 0.825342I
a = 0.464158 + 0.829602I
b = −1.010670 + 0.341418I
−1.11158 + 6.49586I 0
u = 0.973993 + 0.351680I
a = −0.54204 − 1.68412I
b = 0.995313 − 0.425312I
−0.10866 − 4.20067I 0
u = 0.973993 − 0.351680I
a = −0.54204 + 1.68412I
b = 0.995313 + 0.425312I
−0.10866 + 4.20067I 0
u = −0.876625 + 0.380874I
a = −0.723895 − 1.088180I
b = 0.580547 − 1.036930I
−2.34974 − 0.04063I 0
u = −0.876625 − 0.380874I
a = −0.723895 + 1.088180I
b = 0.580547 + 1.036930I
−2.34974 + 0.04063I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.885837 + 0.265977I
a = 0.033600 + 1.078540I
b = −1.043990 − 0.259659I
0.52634 + 1.67625I 0
u = 0.885837 − 0.265977I
a = 0.033600 − 1.078540I
b = −1.043990 + 0.259659I
0.52634 − 1.67625I 0
u = −0.427832 + 0.810569I
a = −0.724858 + 0.035914I
b = 0.346471 − 1.111740I
−7.59119 − 5.62660I 0
u = −0.427832 − 0.810569I
a = −0.724858 − 0.035914I
b = 0.346471 + 1.111740I
−7.59119 + 5.62660I 0
u = 1.080860 + 0.091245I
a = 0.08031 + 2.29630I
b = 0.139621 + 1.331460I
−6.61444 + 1.17446I 0
u = 1.080860 − 0.091245I
a = 0.08031 − 2.29630I
b = 0.139621 − 1.331460I
−6.61444 − 1.17446I 0
u = −0.262067 + 0.866620I
a = 0.159034 − 0.878845I
b = 0.456615 − 0.870797I
3.05724 − 0.21106I 0
u = −0.262067 − 0.866620I
a = 0.159034 + 0.878845I
b = 0.456615 + 0.870797I
3.05724 + 0.21106I 0
u = 1.001890 + 0.460140I
a = 0.79839 + 1.70336I
b = 0.31736 + 1.63299I
−9.23278 − 6.09609I 0
u = 1.001890 − 0.460140I
a = 0.79839 − 1.70336I
b = 0.31736 − 1.63299I
−9.23278 + 6.09609I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.554859 + 0.704922I
a = −0.507533 + 0.996095I
b = 1.070950 + 0.464783I
4.53440 − 2.24300I 0
u = −0.554859 − 0.704922I
a = −0.507533 − 0.996095I
b = 1.070950 − 0.464783I
4.53440 + 2.24300I 0
u = −0.964806 + 0.543621I
a = −1.20361 + 2.46718I
b = 0.358836 + 1.133590I
1.20953 + 5.73514I 0
u = −0.964806 − 0.543621I
a = −1.20361 − 2.46718I
b = 0.358836 − 1.133590I
1.20953 − 5.73514I 0
u = 0.832873 + 0.733971I
a = −0.907150 + 0.472746I
b = −0.030685 − 0.522076I
−0.055542 − 0.848734I 0
u = 0.832873 − 0.733971I
a = −0.907150 − 0.472746I
b = −0.030685 + 0.522076I
−0.055542 + 0.848734I 0
u = 0.408476 + 1.033990I
a = 0.131982 − 0.483838I
b = −0.622096 − 1.209230I
−3.83815 + 12.36200I 0
u = 0.408476 − 1.033990I
a = 0.131982 + 0.483838I
b = −0.622096 + 1.209230I
−3.83815 − 12.36200I 0
u = −0.495741 + 0.732224I
a = 0.395080 − 0.025392I
b = −0.333843 + 1.057910I
−1.62297 − 2.76336I 0
u = −0.495741 − 0.732224I
a = 0.395080 + 0.025392I
b = −0.333843 − 1.057910I
−1.62297 + 2.76336I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.709771 + 0.521874I
a = 0.494712 + 1.025850I
b = −0.542892 + 1.002960I
2.04853 − 1.38534I 0
u = −0.709771 − 0.521874I
a = 0.494712 − 1.025850I
b = −0.542892 − 1.002960I
2.04853 + 1.38534I 0
u = −1.042140 + 0.437424I
a = −1.30874 + 1.28314I
b = 0.569283 + 1.217010I
−9.26430 + 0.13364I 0
u = −1.042140 − 0.437424I
a = −1.30874 − 1.28314I
b = 0.569283 − 1.217010I
−9.26430 − 0.13364I 0
u = −0.999775 + 0.535612I
a = 0.832640 + 0.364844I
b = 1.251810 − 0.593679I
1.15973 + 1.49327I 0
u = −0.999775 − 0.535612I
a = 0.832640 − 0.364844I
b = 1.251810 + 0.593679I
1.15973 − 1.49327I 0
u = 0.816150 + 0.284111I
a = −2.82625 − 2.69791I
b = 0.051865 − 0.797538I
−5.51664 + 3.93255I 0
u = 0.816150 − 0.284111I
a = −2.82625 + 2.69791I
b = 0.051865 + 0.797538I
−5.51664 − 3.93255I 0
u = −1.000570 + 0.547276I
a = 1.35091 − 1.30910I
b = −0.490318 − 1.234650I
−3.02301 + 3.67389I 0
u = −1.000570 − 0.547276I
a = 1.35091 + 1.30910I
b = −0.490318 + 1.234650I
−3.02301 − 3.67389I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.491776 + 1.031030I
a = −0.124553 + 0.815503I
b = −0.419982 + 0.909875I
−1.82061 + 2.16568I 0
u = −0.491776 − 1.031030I
a = −0.124553 − 0.815503I
b = −0.419982 − 0.909875I
−1.82061 − 2.16568I 0
u = 0.366216 + 1.082990I
a = −0.088275 + 0.635376I
b = −0.372863 + 0.745284I
0.61132 − 1.75683I 0
u = 0.366216 − 1.082990I
a = −0.088275 − 0.635376I
b = −0.372863 − 0.745284I
0.61132 + 1.75683I 0
u = 0.880187 + 0.734896I
a = 0.264143 − 0.023723I
b = −0.412441 + 0.312440I
3.75759 − 2.82713I 0
u = 0.880187 − 0.734896I
a = 0.264143 + 0.023723I
b = −0.412441 − 0.312440I
3.75759 + 2.82713I 0
u = −1.106390 + 0.315265I
a = −0.387678 − 0.052899I
b = −0.798494 + 0.283142I
−7.76841 + 0.73450I 0
u = −1.106390 − 0.315265I
a = −0.387678 + 0.052899I
b = −0.798494 − 0.283142I
−7.76841 − 0.73450I 0
u = −0.950870 + 0.652024I
a = 1.63019 − 2.05960I
b = −0.387274 − 1.118130I
−2.92554 + 8.15794I 0
u = −0.950870 − 0.652024I
a = 1.63019 + 2.05960I
b = −0.387274 + 1.118130I
−2.92554 − 8.15794I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.831239 + 0.803306I
a = −0.406684 + 0.033121I
b = 0.471054 − 0.131429I
−0.169856 − 1.043080I 0
u = 0.831239 − 0.803306I
a = −0.406684 − 0.033121I
b = 0.471054 + 0.131429I
−0.169856 + 1.043080I 0
u = −0.026254 + 0.840265I
a = −0.584767 + 0.396183I
b = 0.543431 + 1.051160I
−6.24697 + 1.62277I 0
u = −0.026254 − 0.840265I
a = −0.584767 − 0.396183I
b = 0.543431 − 1.051160I
−6.24697 − 1.62277I 0
u = 0.876897 + 0.764717I
a = 0.241105 − 0.358138I
b = 0.071279 + 0.307185I
3.79796 − 2.89765I 0
u = 0.876897 − 0.764717I
a = 0.241105 + 0.358138I
b = 0.071279 − 0.307185I
3.79796 + 2.89765I 0
u = 0.970038 + 0.644359I
a = −0.193150 + 0.150265I
b = 0.543686 − 0.360036I
−0.55347 − 4.54856I 0
u = 0.970038 − 0.644359I
a = −0.193150 − 0.150265I
b = 0.543686 + 0.360036I
−0.55347 + 4.54856I 0
u = 1.079200 + 0.452388I
a = 0.451052 + 0.673341I
b = −0.599177 − 0.207977I
−6.92494 − 6.65469I 0
u = 1.079200 − 0.452388I
a = 0.451052 − 0.673341I
b = −0.599177 + 0.207977I
−6.92494 + 6.65469I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.348918 + 0.751391I
a = 0.166047 − 0.132015I
b = −0.710919 − 1.114800I
1.01384 + 3.66568I 0
u = 0.348918 − 0.751391I
a = 0.166047 + 0.132015I
b = −0.710919 + 1.114800I
1.01384 − 3.66568I 0
u = 1.096720 + 0.439229I
a = −1.15383 − 1.42834I
b = 0.137942 − 0.668622I
−0.74381 − 3.49112I 0
u = 1.096720 − 0.439229I
a = −1.15383 + 1.42834I
b = 0.137942 + 0.668622I
−0.74381 + 3.49112I 0
u = −1.168330 + 0.254630I
a = 0.90826 − 1.51143I
b = 0.418149 − 1.220670I
−3.52367 − 0.78738I 0
u = −1.168330 − 0.254630I
a = 0.90826 + 1.51143I
b = 0.418149 + 1.220670I
−3.52367 + 0.78738I 0
u = −1.034010 + 0.602691I
a = −0.562343 − 0.534056I
b = −1.282070 + 0.331052I
3.09715 + 7.28141I 0
u = −1.034010 − 0.602691I
a = −0.562343 + 0.534056I
b = −1.282070 − 0.331052I
3.09715 − 7.28141I 0
u = −0.760698 + 0.240385I
a = 0.318663 − 0.194137I
b = 0.322300 − 0.424796I
−1.25852 + 0.66106I 0
u = −0.760698 − 0.240385I
a = 0.318663 + 0.194137I
b = 0.322300 + 0.424796I
−1.25852 − 0.66106I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.599657 + 0.517735I
a = 0.72550 − 1.29041I
b = −1.088280 − 0.762824I
2.39395 + 2.84788I 0
u = −0.599657 − 0.517735I
a = 0.72550 + 1.29041I
b = −1.088280 + 0.762824I
2.39395 − 2.84788I 0
u = 0.710150 + 0.345787I
a = 1.45078 + 2.69873I
b = −0.05196 + 1.57540I
−8.10061 + 2.58041I 0
u = 0.710150 − 0.345787I
a = 1.45078 − 2.69873I
b = −0.05196 − 1.57540I
−8.10061 − 2.58041I 0
u = 0.929564 + 0.778342I
a = 0.062791 + 0.570268I
b = −0.259766 − 0.298716I
−0.48698 − 4.90747I 0
u = 0.929564 − 0.778342I
a = 0.062791 − 0.570268I
b = −0.259766 + 0.298716I
−0.48698 + 4.90747I 0
u = −1.062690 + 0.616209I
a = −1.41874 + 1.34078I
b = 0.475164 + 1.174760I
−3.29068 + 7.92539I 0
u = −1.062690 − 0.616209I
a = −1.41874 − 1.34078I
b = 0.475164 − 1.174760I
−3.29068 − 7.92539I 0
u = 1.219110 + 0.159389I
a = −0.03749 − 1.99593I
b = −0.272061 − 1.338820I
−12.88230 + 2.99778I 0
u = 1.219110 − 0.159389I
a = −0.03749 + 1.99593I
b = −0.272061 + 1.338820I
−12.88230 − 2.99778I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.760796 + 0.970708I
a = −0.166713 − 0.490808I
b = 0.298576 − 0.639065I
3.87814 − 3.36972I 0
u = 0.760796 − 0.970708I
a = −0.166713 + 0.490808I
b = 0.298576 + 0.639065I
3.87814 + 3.36972I 0
u = −0.502105 + 0.573747I
a = 0.232700 + 0.257279I
b = 0.218874 − 0.992560I
−1.65413 + 0.81096I 0
u = −0.502105 − 0.573747I
a = 0.232700 − 0.257279I
b = 0.218874 + 0.992560I
−1.65413 − 0.81096I 0
u = −1.087640 + 0.641750I
a = 0.407992 + 0.494381I
b = 1.208320 − 0.234516I
−2.86642 + 11.98280I 0
u = −1.087640 − 0.641750I
a = 0.407992 − 0.494381I
b = 1.208320 + 0.234516I
−2.86642 − 11.98280I 0
u = 1.125380 + 0.581929I
a = −0.92584 − 1.90063I
b = 0.76579 − 1.28083I
−1.25157 − 8.73513I 0
u = 1.125380 − 0.581929I
a = −0.92584 + 1.90063I
b = 0.76579 + 1.28083I
−1.25157 + 8.73513I 0
u = 1.191700 + 0.443945I
a = 0.77619 + 1.89309I
b = −0.676231 + 1.109960I
−9.89645 − 6.02709I 0
u = 1.191700 − 0.443945I
a = 0.77619 − 1.89309I
b = −0.676231 − 1.109960I
−9.89645 + 6.02709I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.118980 + 0.628199I
a = 1.47398 − 1.28396I
b = −0.492230 − 1.151260I
−9.6419 + 11.0356I 0
u = −1.118980 − 0.628199I
a = 1.47398 + 1.28396I
b = −0.492230 + 1.151260I
−9.6419 − 11.0356I 0
u = 0.112650 + 0.704524I
a = −0.801716 + 0.426296I
b = 0.591868 + 0.193432I
−4.08336 + 2.59332I 2.00000 − 2.23007I
u = 0.112650 − 0.704524I
a = −0.801716 − 0.426296I
b = 0.591868 − 0.193432I
−4.08336 − 2.59332I 2.00000 + 2.23007I
u = −1.288370 + 0.074454I
a = −0.55662 + 1.75748I
b = −0.374415 + 1.190150I
−4.02845 − 5.42886I 0
u = −1.288370 − 0.074454I
a = −0.55662 − 1.75748I
b = −0.374415 − 1.190150I
−4.02845 + 5.42886I 0
u = −1.238070 + 0.440869I
a = −0.718371 + 1.175660I
b = −0.461351 + 1.153710I
−9.96725 + 2.99207I 0
u = −1.238070 − 0.440869I
a = −0.718371 − 1.175660I
b = −0.461351 − 1.153710I
−9.96725 − 2.99207I 0
u = 1.156230 + 0.650655I
a = 0.96670 + 1.81791I
b = −0.69953 + 1.32014I
−0.1242 − 14.1958I 0
u = 1.156230 − 0.650655I
a = 0.96670 − 1.81791I
b = −0.69953 − 1.32014I
−0.1242 + 14.1958I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.100400 + 0.808656I
a = −0.79489 + 1.44744I
b = 0.372924 + 1.181570I
−3.59894 + 4.41844I 0
u = −1.100400 − 0.808656I
a = −0.79489 − 1.44744I
b = 0.372924 − 1.181570I
−3.59894 − 4.41844I 0
u = 1.311970 + 0.395897I
a = 0.63820 + 1.49197I
b = −0.118096 + 0.629632I
−7.57692 − 6.34456I 0
u = 1.311970 − 0.395897I
a = 0.63820 − 1.49197I
b = −0.118096 − 0.629632I
−7.57692 + 6.34456I 0
u = −1.200440 + 0.664805I
a = 0.66096 − 1.72296I
b = −0.366155 − 1.172140I
0.29506 + 5.90638I 0
u = −1.200440 − 0.664805I
a = 0.66096 + 1.72296I
b = −0.366155 + 1.172140I
0.29506 − 5.90638I 0
u = 1.197960 + 0.684529I
a = −0.95716 − 1.76047I
b = 0.66234 − 1.31870I
−6.2890 − 18.5439I 0
u = 1.197960 − 0.684529I
a = −0.95716 + 1.76047I
b = 0.66234 + 1.31870I
−6.2890 + 18.5439I 0
u = −0.375554 + 0.491603I
a = −0.44352 − 1.47996I
b = −0.164307 + 1.122050I
−7.26393 + 3.63223I −3.59178 − 4.48424I
u = −0.375554 − 0.491603I
a = −0.44352 + 1.47996I
b = −0.164307 − 1.122050I
−7.26393 − 3.63223I −3.59178 + 4.48424I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.438985 + 0.364803I
a = 1.151000 − 0.065824I
b = −0.446406 − 0.067208I
1.072660 + 0.185704I 9.45528 + 0.32858I
u = 0.438985 − 0.364803I
a = 1.151000 + 0.065824I
b = −0.446406 + 0.067208I
1.072660 − 0.185704I 9.45528 − 0.32858I
u = 0.97402 + 1.04831I
a = 0.302499 + 0.657650I
b = −0.223604 + 0.665646I
−0.81230 − 5.39094I 0
u = 0.97402 − 1.04831I
a = 0.302499 − 0.657650I
b = −0.223604 − 0.665646I
−0.81230 + 5.39094I 0
u = −1.46449 + 0.07086I
a = 0.36127 − 1.60330I
b = 0.372089 − 1.170040I
−10.71760 − 8.47921I 0
u = −1.46449 − 0.07086I
a = 0.36127 + 1.60330I
b = 0.372089 + 1.170040I
−10.71760 + 8.47921I 0
u = −1.36352 + 0.60606I
a = −0.40077 + 1.69868I
b = 0.358112 + 1.174900I
−4.27800 + 7.57344I 0
u = −1.36352 − 0.60606I
a = −0.40077 − 1.69868I
b = 0.358112 − 1.174900I
−4.27800 − 7.57344I 0
u = 0.202630 + 0.146296I
a = −1.90423 − 0.57867I
b = −0.662293 + 0.765192I
1.33698 − 2.53000I 0.43929 + 6.27258I
u = 0.202630 − 0.146296I
a = −1.90423 + 0.57867I
b = −0.662293 − 0.765192I
1.33698 + 2.53000I 0.43929 − 6.27258I
17
II. I
u
2
=
h16u
31
−6u
30
+· · ·+b+17, −36u
31
+35u
30
+· · ·+a−60, u
32
−8u
30
+· · ·+3u+1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
36u
31
− 35u
30
+ ··· + 133u + 60
−16u
31
+ 6u
30
+ ··· − 19u − 17
a
5
=
11u
31
− 2u
30
+ ··· − 3u + 19
−u
30
+ 7u
28
+ ··· − u − 1
a
8
=
−17u
31
+ 10u
30
+ ··· − 70u − 48
2u
31
− 16u
29
+ ··· − 5u + 2
a
10
=
52u
31
− 41u
30
+ ··· + 152u + 77
−16u
31
+ 6u
30
+ ··· − 19u − 17
a
4
=
49u
31
− 18u
30
+ ··· + 83u + 76
−2u
31
+ u
30
+ ··· − 12u − 10
a
12
=
9u
31
− 16u
30
+ ··· + 38u − 14
−12u
31
+ 11u
30
+ ··· − 41u − 18
a
9
=
−18u
31
+ 10u
30
+ ··· − 68u − 47
4u
31
− u
30
+ ··· + 5u + 10
(ii) Obstruction class = 1
(iii) Cusp Shapes = 47u
31
−47u
30
−352u
29
+ 488u
28
+ 1375u
27
−2532u
26
−3338u
25
+
8465u
24
+ 5032u
23
−20319u
22
−3150u
21
+ 36746u
20
−5396u
19
−51623u
18
+ 19436u
17
+
57445u
16
− 32257u
15
− 51717u
14
+ 36937u
13
+ 38443u
12
− 31912u
11
− 24190u
10
+
21476u
9
+ 13055u
8
−11167u
7
−6079u
6
+ 4334u
5
+ 2334u
4
−1115u
3
−657u
2
+ 136u + 94
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
32
− 16u
31
+ ··· − 19u + 1
c
2
u
32
− 8u
30
+ ··· − 3u + 1
c
3
u
32
+ u
31
+ ··· − 6u
2
+ 1
c
4
u
32
− 3u
31
+ ··· + 14u
2
+ 1
c
5
u
32
+ 10u
30
+ ··· + 9u
2
+ 1
c
6
u
32
− 8u
30
+ ··· + 3u + 1
c
7
u
32
+ 3u
31
+ ··· + 14u
2
+ 1
c
8
, c
9
u
32
+ 4u
31
+ ··· + 8u + 1
c
10
u
32
+ 10u
30
+ ··· + 9u
2
+ 1
c
11
u
32
− 5u
29
+ ··· − 13u
2
+ 1
c
12
u
32
− 4u
31
+ ··· − 8u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
32
+ 16y
31
+ ··· + 5y + 1
c
2
, c
6
y
32
− 16y
31
+ ··· − 19y + 1
c
3
y
32
+ 5y
31
+ ··· − 12y + 1
c
4
, c
7
y
32
+ 29y
31
+ ··· + 28y + 1
c
5
, c
10
y
32
+ 20y
31
+ ··· + 18y + 1
c
8
, c
9
, c
12
y
32
+ 32y
31
+ ··· + 8y + 1
c
11
y
32
+ 2y
30
+ ··· − 26y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.799364 + 0.621442I
a = 0.270263 + 0.749470I
b = −0.963964 + 0.539754I
2.61587 − 4.09962I 3.37497 + 7.08178I
u = 0.799364 − 0.621442I
a = 0.270263 − 0.749470I
b = −0.963964 − 0.539754I
2.61587 + 4.09962I 3.37497 − 7.08178I
u = −0.973597 + 0.336591I
a = −0.74289 + 1.94395I
b = 0.834611 + 0.444535I
0.23277 + 4.18604I 12.9661 − 7.5620I
u = −0.973597 − 0.336591I
a = −0.74289 − 1.94395I
b = 0.834611 − 0.444535I
0.23277 − 4.18604I 12.9661 + 7.5620I
u = 0.940520 + 0.202717I
a = 0.99901 + 2.05172I
b = 0.05645 + 1.49783I
−4.90797 − 0.85667I −3.51947 − 0.63009I
u = 0.940520 − 0.202717I
a = 0.99901 − 2.05172I
b = 0.05645 − 1.49783I
−4.90797 + 0.85667I −3.51947 + 0.63009I
u = 0.645762 + 0.852646I
a = −0.101624 + 0.177841I
b = 0.257132 − 0.795305I
−0.45934 − 1.81704I −2.19760 + 4.10930I
u = 0.645762 − 0.852646I
a = −0.101624 − 0.177841I
b = 0.257132 + 0.795305I
−0.45934 + 1.81704I −2.19760 − 4.10930I
u = 0.926482 + 0.628109I
a = 0.586804 − 0.332494I
b = 0.918613 + 0.441511I
2.20837 − 0.80548I 4.64808 − 0.24139I
u = 0.926482 − 0.628109I
a = 0.586804 + 0.332494I
b = 0.918613 − 0.441511I
2.20837 + 0.80548I 4.64808 + 0.24139I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.129590 + 0.264881I
a = −0.65737 − 1.33966I
b = −0.175528 − 1.359080I
−10.21600 − 4.72575I −5.95119 + 3.47032I
u = 1.129590 − 0.264881I
a = −0.65737 + 1.33966I
b = −0.175528 + 1.359080I
−10.21600 + 4.72575I −5.95119 − 3.47032I
u = 0.823064 + 0.844548I
a = 0.1092650 + 0.0869349I
b = −0.130180 + 0.597168I
3.43388 − 3.16292I −5.43895 + 5.56366I
u = 0.823064 − 0.844548I
a = 0.1092650 − 0.0869349I
b = −0.130180 − 0.597168I
3.43388 + 3.16292I −5.43895 − 5.56366I
u = −0.749995 + 0.293485I
a = 0.963077 − 0.800051I
b = −0.702751 + 0.410304I
1.06877 − 1.40357I 8.13259 + 1.65695I
u = −0.749995 − 0.293485I
a = 0.963077 + 0.800051I
b = −0.702751 − 0.410304I
1.06877 + 1.40357I 8.13259 − 1.65695I
u = −0.659503 + 0.424875I
a = 0.449378 + 0.555146I
b = −0.678240 + 0.898249I
1.33141 − 1.54920I −0.563057 − 0.147602I
u = −0.659503 − 0.424875I
a = 0.449378 − 0.555146I
b = −0.678240 − 0.898249I
1.33141 + 1.54920I −0.563057 + 0.147602I
u = 0.752664 + 0.178288I
a = −1.77179 − 3.15136I
b = 0.07963 − 1.45633I
−8.65925 + 2.84995I −10.42345 − 3.94968I
u = 0.752664 − 0.178288I
a = −1.77179 + 3.15136I
b = 0.07963 + 1.45633I
−8.65925 − 2.84995I −10.42345 + 3.94968I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.113210 + 0.570439I
a = −0.79881 + 1.94520I
b = 0.434018 + 1.138410I
−0.42634 + 5.66768I −2.11222 − 5.09717I
u = −1.113210 − 0.570439I
a = −0.79881 − 1.94520I
b = 0.434018 − 1.138410I
−0.42634 − 5.66768I −2.11222 + 5.09717I
u = −0.526711 + 0.503320I
a = −0.19681 − 2.09401I
b = 0.413241 − 1.009310I
−1.40689 − 1.05815I 0.90848 + 1.60867I
u = −0.526711 − 0.503320I
a = −0.19681 + 2.09401I
b = 0.413241 + 1.009310I
−1.40689 + 1.05815I 0.90848 − 1.60867I
u = −1.260100 + 0.368155I
a = 0.57150 − 2.08479I
b = −0.316783 − 0.812488I
−7.90343 + 6.97806I −5.03401 − 10.89750I
u = −1.260100 − 0.368155I
a = 0.57150 + 2.08479I
b = −0.316783 + 0.812488I
−7.90343 − 6.97806I −5.03401 + 10.89750I
u = 0.950662 + 0.926013I
a = −0.095860 − 0.202740I
b = −0.045675 − 0.714187I
−1.32394 − 4.81604I −5.39721 + 1.34547I
u = 0.950662 − 0.926013I
a = −0.095860 + 0.202740I
b = −0.045675 + 0.714187I
−1.32394 + 4.81604I −5.39721 − 1.34547I
u = −1.122920 + 0.707491I
a = 0.81365 − 1.77592I
b = −0.248178 − 1.196480I
−3.52189 + 6.15007I −1.60004 − 5.17769I
u = −1.122920 − 0.707491I
a = 0.81365 + 1.77592I
b = −0.248178 + 1.196480I
−3.52189 − 6.15007I −1.60004 + 5.17769I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.562070 + 0.181783I
a = −2.89780 + 1.47590I
b = 0.267610 − 0.604602I
−4.96470 − 4.51412I 2.20695 + 6.21601I
u = −0.562070 − 0.181783I
a = −2.89780 − 1.47590I
b = 0.267610 + 0.604602I
−4.96470 + 4.51412I 2.20695 − 6.21601I
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
32
− 16u
31
+ ··· − 19u + 1)
· (u
130
+ 59u
129
+ ··· + 2798166u + 78961)
c
2
(u
32
− 8u
30
+ ··· − 3u + 1)(u
130
− u
129
+ ··· − 2132u + 281)
c
3
(u
32
+ u
31
+ ··· − 6u
2
+ 1)(u
130
+ 17u
128
+ ··· + 693261u + 67289)
c
4
(u
32
− 3u
31
+ ··· + 14u
2
+ 1)(u
130
− 4u
129
+ ··· − 77445u + 8257)
c
5
(u
32
+ 10u
30
+ ··· + 9u
2
+ 1)(u
130
+ u
129
+ ··· + u + 1)
c
6
(u
32
− 8u
30
+ ··· + 3u + 1)(u
130
− u
129
+ ··· − 2132u + 281)
c
7
(u
32
+ 3u
31
+ ··· + 14u
2
+ 1)(u
130
− 4u
129
+ ··· − 77445u + 8257)
c
8
, c
9
(u
32
+ 4u
31
+ ··· + 8u + 1)(u
130
+ 3u
129
+ ··· + 167u + 49)
c
10
(u
32
+ 10u
30
+ ··· + 9u
2
+ 1)(u
130
+ u
129
+ ··· + u + 1)
c
11
(u
32
− 5u
29
+ ··· − 13u
2
+ 1)(u
130
− 5u
129
+ ··· + 300381u + 21815)
c
12
(u
32
− 4u
31
+ ··· − 8u + 1)(u
130
+ 3u
129
+ ··· + 167u + 49)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
32
+ 16y
31
+ ··· + 5y + 1)
· (y
130
+ 41y
129
+ ··· + 2849686224134y + 6234839521)
c
2
, c
6
(y
32
− 16y
31
+ ··· − 19y + 1)
· (y
130
− 59y
129
+ ··· − 2798166y + 78961)
c
3
(y
32
+ 5y
31
+ ··· − 12y + 1)
· (y
130
+ 34y
129
+ ··· + 179177883001y + 4527809521)
c
4
, c
7
(y
32
+ 29y
31
+ ··· + 28y + 1)
· (y
130
+ 82y
129
+ ··· + 573275145y + 68178049)
c
5
, c
10
(y
32
+ 20y
31
+ ··· + 18y + 1)(y
130
+ 73y
129
+ ··· + 39y + 1)
c
8
, c
9
, c
12
(y
32
+ 32y
31
+ ··· + 8y + 1)(y
130
+ 125y
129
+ ··· − 124811y + 2401)
c
11
(y
32
+ 2y
30
+ ··· − 26y + 1)
· (y
130
+ 25y
129
+ ··· + 54768666299y + 475894225)
26
